11532612100 has 27 divisors (see below), whose sum is σ = 25028098837. Its totient is φ = 4612615280.

The previous prime is 11532612097. The next prime is 11532612107. The reversal of 11532612100 is 121623511.

It is a happy number.

The square root of 11532612100 is 107390.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4151740356 + 7380871744 = 64434^2 + 85912^2 .

It is a super-2 number, since 2×11532612100² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11532612107) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1068531 + ... + 1079269.

Almost surely, 2^11532612100 is an apocalyptic number.

11532612100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11532612100 is the 107390-th square number.

It is an amenable number.

11532612100 is an abundant number, since it is smaller than the sum of its proper divisors (13495486737).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11532612100 is an frugal number, since it uses more digits than its factorization.

11532612100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21492 (or 10746 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The spelling of 11532612100 in words is "eleven billion, five hundred thirty-two million, six hundred twelve thousand, one hundred".